output
19962026
most citedSelective review of offline change point detection methods

1.4k citations

Showing 2013 · math.APShow all

8 papers · 2 filters

math.AP2013★ 19 cited

Proportionality of components, Liouville theorems and a priori estimates for noncooperative elliptic systems

Alexandre Montaru, Boyan Sirakov, Philippe Souplet

We study qualitative properties of positive solutions of noncooperative, possibly nonvariational, elliptic systems. We obtain new classification and Liouville type theorems in the…

math.AP2013★ 27 cited

Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain

Tony Lelièvre, Francis Nier

We analyze the low temperature asymptotics of the quasi-stationary distribution associated with the overdamped Langevin dynamics (a.k.a. the Einstein-Smoluchowski diffusion equatio…

math.AP2013★ 62 cited

On the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations

Frank Merle, Hatem Zaag

We consider a blow-up solution for the semilinear wave equation in dimensions, with subconformal power nonlinearity. Introducing $\RR_0$ the set of non-characteristic points wi…

math.AP2013★ 11 cited

Topography influence on the Lake equations in bounded domains

Christophe Lacave, Toan T. Nguyen, Benoit Pausader

We investigate the influence of the topography on the lake equations which describe the two-dimensional horizontal velocity of a three-dimensional incompressible flow. We show that…

math.AP2013

Profile for a simultaneously blowing up solution for a complex valued semilinear heat equation

Nejla Nouaili, Hatem Zaag

We construct a solution to a complex nonlinear heat equation which blows up in finite time only at one blow-up point. We also give a sharp description of its blow-up profile. T…

math.AP2013★ 5 cited

Weighted Sobolev spaces for the Laplace equation in periodic infinite strips

Vuk Milisic, Ulrich Razafison

This paper establishes isomorphisms for the Laplace operator in weighted Sobolev spaces (WSS). These spaces are similar to standard Sobolev spaces, but they are endowed with weight…

math.AP2013★ 23 cited

Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations

Mohamed-Ali Hamza, Hatem Zaag

We give blow-up results for the Klein-Gordon equation and other perturbations of the semilinear wave equations with superlinear power nonlinearity, in one space dimension or in hig…

math.AP2013★ 13 cited

Standing waves of the complex Ginzburg-Landau equation

Thierry Cazenave, Flávio Dickstein, Fred B. Weissler

We prove the existence of nontrivial standing wave solutions of the complex Ginzburg-Landau equation with periodic boundary conditions. Our result…